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| Title: | The metallic ratios as limits of complex valued transformations | Authors: | Falcón, Sergio Plaza, Ángel |
UNESCO Clasification: | 120504 Teoría elemental de los números | Keywords: | Triangular Grids Golden Section Fibonacci |
Issue Date: | 2009 | Project: | Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento | Journal: | Chaos, Solitons and Fractals | Abstract: | We study the presence of the metallic ratios as limits of two complex valued transformations. These complex variable functions are introduced and related with the two geometric antecedents for each triangle in a particular triangle partition, the four-triangle longest-edge (4TLE) partition. In this way, the fractality of a geometric diagram for the classes of dissimilar generated triangles is also explained. | URI: | http://hdl.handle.net/10553/49155 | ISSN: | 0960-0779 | DOI: | 10.1016/j.chaos.2007.11.011 | Source: | Chaos, Solitons and Fractals [ISSN 0960-0779], v. 41 (1), p. 1-13 |
| Appears in Collections: | Artículos |
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